The Lazy Gardener Puzzle - Solution

This is the solution to the Lazy Gardener Puzzle.

lawn with two lawn mowers

The Puzzle

It takes two gardeners 8 days to mow a lawn.

One is lazy and one is energetic.

The energetic one would only take 12 days to mow it on his own.

How many days would the lazy gardener take to mow the lawn on his own?

The Solution

The energetic gardener would be able to mow the lawn in twelve days. In eight days he would be able to mow 8/12 of the lawn.

This leaves 4/12 of the lawn left for the lazy gardener to mow. He takes the full eight days to do this so he mows only half as quickly as the energetic one.

So he would need 24 days to mow the lawn on his own.

Twice as long as the energetic one.